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읽기 · 학술 · 공개 라이선스 원문

A Meta-Analysis of Ten Learning Techniques

Gregory M. Donoghue, John A. C. Hattie · 2021

학생이 스스로 쓰는 공부법 10가지의 효과를 242편의 연구로 계산한 메타분석입니다. 간격 반복과 스스로 시험 보기(인출 연습)의 효과가 가장 컸고, 밑줄 긋기와 요약하기가 가장 작았습니다. 대부분의 연구가 사실을 기억하는 정도를 재었기 때문에 깊은 이해에 그대로 적용하기는 조심해야 한다고 덧붙입니다.

출처 Donoghue & Hattie (2021), Frontiers in Education, 6, 581216 · 라이선스 CC BY 4.0 · 원문

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3장 · Method

Research syntheses aim to summarise past research by estimating effect-sizes from multiple, separate studies that address, in this case, 10 major learning techniques. The data is based on the 399 studies referenced in Dunlosky et al. (2013a). We removed all non-empirical studies, and any studies that did not report sufficient data for the calculation of a Cohen’s d. This resulted in 242 studies being included in the meta-analysis, many of which contained data for multiple effect sizes, resulting in 1,620 cases for which a Cohen’s d was calculated (see Figure 1).

The publication dates of the articles ranged from 1929 to 2014, with half being published since 1996. Most participants were undergraduates (65%), but also included secondary (11%), primary (13%), adults (2%), and early childhood (9%). Most were chosen from the average range of abilities (86%), while 7% were categorised low ability and 7% high ability. The participants were mainly North Americans (86%), and also included Europeans (11%), and Australians (3%).

All articles were coded by the two authors, and independent colleagues were asked to re-code a sample of 30 (about 10%) to estimate inter-rater reliability. This resulted in a kappa value of 0 89, which gives much confidence in the dependability of the coding.

For each study, three sets of moderators were coded. The first set of moderators included attributes of the article: quality of the journal (h-index), year of publication (to assess any changes in effectiveness as more research has been added into the literature), and sample size. The second set of moderators included attributes of the students: ability level of the students (low, average, and high), country of the study, grade levels of the student (pre and primary, high, Univ, adults). The third set of moderators included attributes of the design: whether the outcome was near or far transfer (e.g., was the learner tested on criterion tasks that differed from the training tasks or did the effect of the technique improve the student learning in a different subject domain), the depth of the outcome (Surface or content-specific vs. Deep or more generalizable learning), how delayed was the testing from the actual study (under 1 day, or 2 + days), the learning domain of the content of the study or measure (e.g., cognitive, non-cognitive).

The design of most studies include experimental compared to control group (91%), longitudinal (pre-post, time series) 6.5%, and within subject designs (2.4%). Most learning outcomes were classified as Surface (93%) and the other 7% Deep. The post-tests were predominantly completed very soon after the intervention - 74% completed in 1 day or less, 17% from 2 to 7 days, 3.3% from 8 days to month, 0.4% from 1 to 3 months, and 0.2% from 4 months to 7 years.

We used two major methods for calculating Cohen’s d from the various statistics published in the studies. First, standardized mean differences (N = 1,203 effects) involved subtracting the mean of the control group from the mean of the experimental group, then dividing by an estimate of the pooled standard deviation, as follows.-The standard errors of the effect size (ES) were calculated as follows,We adjusted the effect sizes (ES) according to Hedges and Olkin, (1985) to account for bias in sample sizes, according to thisSecond, F-statistics (for two groups only) were converted using:The Standard Error was calculated using:

In all cases, therefore, a positive effect meant that the learning technique had a positive impact on learning.

The distribution of effect sizes and sample sizes was examined to determine if any were statistical outliers. Grubbs (1950) test was applied (see also Barnett and Lewis, 1994). If outliers were identified, these values were set at the value of their next nearest neighbour. We used inverse variance weighted procedures to calculate average effect sizes across all comparisons (Borenstein et al., 2005). Also, 95% confidence intervals were calculated for average effects. Possible moderators (e.g., grade level, duration of the treatment) of the DBP to student outcome relationship were tested using homogeneity analyses (Hedges and Olkin, 1985; Cooper et al., 2019). The analyses were carried out to determine whether a) the variance in a group of individual effect sizes varies more than predicted by sampling error and/or b) multiple groups of average effect sizes vary more than predicted by sampling error.

Rather than opt for a single model of error, we conducted the overall analyses twice, once employing fixed-error assumptions and once employing random-error assumptions (see Hedges and Vevea, 1998, for a discussion of fixed and random effects). This sensitivity analysis allowed us to examine the effects of the different assumptions (fixed or random) on the findings. If, for example, a moderator is found to be significant under a random-effects assumption but not significant under a fixed effects assumption, then this suggests a limit on the generalizability of the inferences of the moderator. All statistical processes were conducted using the Comprehensive Meta-Analysis software package (Borenstein et al., 2005).

The examination of heterogeneity of the effect size distributions within each outcome category was conducted using the Q statistic and the I² statistic (Borenstein et al., 2009). To calculate Q and I², we entered the corrected effect-sizes for every case, along with the SE (calculated as above) and generated homogeneity data. Due to the substantive variability within the studies, even in the case of a non-significant Q test, when I² was different from zero, moderation analyses were carried out through subgroup analysis (Lipsey and Wilson, 2001). As all hypothesized moderators were operationalized as categorical variables, these analyses were performed primarily through subgroup analyses using a mixed-effects model.

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